If you look at the Linotype page for Old English (http://www.linotype.com/11949/oldenglish-font.html), you'll notice that its dscription says that it was designed by Monotype. So, this design came to us by way of them. I suspect that E+F's version was licensed from Monotype, too. Orm they may have digitized their own version of a similar pre-digital face, in which case they would have there own.
In this case, you could license the face from whichever company you prefer to get your fonts from. I'm sure that they are all good fonts.